Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Identity Property of 1
This video explains the identity property of multiplication. Practice problems are included. [1:24]
Khan Academy
Khan Academy: Differential Equations: Complex Roots of Characteristic Equation 1
Video is first part of showing what happens in a secondnd order linear homogeneous differential equation when the roots of the characteristic equation are complex. Includes using Euler's formula. [10:27]
Khan Academy
Khan Academy: Differential Equations: First Order Homogeneous Equations 2
Video shows an example of using substitution to solve a first order homogeneous differential equation. [8:22]
Khan Academy
Khan Academy: Linear Algebra: Preimage and Kernel Example
Video first shows how to find the preimage of a set under a transformation. Shows visually what the preimage looks like on a graph. Explains that the kernel is the preimage of the zero vector. [15:23]
Khan Academy
Khan Academy: Geometry: Challenging Similarity Problem
Explains how to determine unknown side lengths in a complex diagram that involves similar triangles. [9:53]
Khan Academy
Khan Academy: Linear Algebra: Introduction to Orthonormal Bases
Video defining an orthonormal set as a set of vectors that all have the length of 1 and are orthogonal to each other. Using proof by contradiction, the set is proven to be linearly independent and can be considered an orthonormal basis....
Khan Academy
Khan Academy: Linear Algebra: Relationship Between Cross Product and Angle Sin
Video proving that the magnitude of the cross product of two vectors is equal to the product of their magnitudes and the sine of the angle between them. [18:09]
Khan Academy
Khan Academy: Linear Algebra: Point Distance to Plane
Video solving for the shortest distance between a point and a plane by building from the previous video where the normal vector to the plane is found. Distance is calculated by finding the dot product of the vector from the given point...
Khan Academy
Khan Academy: Algebra: Converting Yards to Inches
A step-by-step breakdown on how to convert a length in yards to inches. [5:48]
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Improper Fraction to Mixed Number
This video shows how to write an improper fraction as a mixed number using drawings. Practice problems are available. [4:01]
Khan Academy
Khan Academy: Algebra: Ca Algebra I: Completing the Square
Demonstrates solutions to problems #48-52 of California Algebra I released state test questions. Problems address understanding of solving quadratic equations by factoring and completing the square. Practice problems available. [13:48]
Khan Academy
Khan Academy: Linear Algebra: Least Squares Examples
An instructional video that works through a concrete example of finding the least squares approximation for a system of equations that has no solution. [18:50]
Khan Academy
Khan Academy: Proof (Pt 4) Minimizing Squared Error to Regression Line
Video about deriving the formula for the least squares regression line. This final video finishes up the derivation of the formula for line of best fit by solving the system of equations created by the partial derivatives. It finally...
Khan Academy
Khan Academy: Geometry: Corresponding Angle Equivalence Implies Parallel Lines
Proof by contradiction that if two lines cut by a transversal create congruent corresponding angles then the lines are parallel. [5:18]
Khan Academy
Khan Academy: Algebra: Direct and Inverse Variation
Video describing direct and inverse variation by giving examples of equations and their corresponding table of values that fit each variation model. Includes link to additional practice at the top of the video. [9:54]
Khan Academy
Khan Academy: Algebra: Writing Proportions
This video demonstrates how to write a proportion by setting two ratios equal to each other. The video does not demonstrate how to solve the proportions, only set them up. This video is also found in the strand Algebra: Ratios and...
Khan Academy
Khan Academy: Pre Calculus: Polar Coordinates 3
The third video in the Khan Academy's series on Polar Coordinates. This final segment goes through several more examples of converting Cartesian equations to polar equations and vice versa. This video is also included in the Trigonometry...
Khan Academy
Khan Academy: Linear Algebra: Span and Linear Independence Example
Video shows an example of proving that a particular linear combination of 3 vectors in R3 spans R3. Relates this to linearly independent and linearly dependent vectors. [16:53]
Khan Academy
Khan Academy: Algebra: Direct Variation Models
This video demonstrates how to create a direct variation model, or a linear equation, given a word problem that deals with rate of change. It also shows how to solve the equation and graph the direct variation model. Practice problems...
Khan Academy
Khan Academy: Calculus: 2011 Calculus Ab Free Response #3 (A & B)
Video demonstrates how to write the equation of a line tangent to a function at a given point. Also shows how to find the area between two curves using definite integrals. [8:13]
Khan Academy
Khan Academy: Algebra: Averages
This video begins with a couple of examples on how to calculate averages using whole numbers. Then it applies this skill to solving algebra problems that involve averages. Practice problems available. [8:37]
Khan Academy
Khan Academy: Differential Equations: First Order Homogeneous Equations
Video first shows what homogeneous means in terms of differential equations, then shows how to use substitution to find solutions to the homogeneous differential equation. [7:21]
Khan Academy
Khan Academy: Statistics: Comparing Population Proportions 1
Video is the first of two parts to demonstrate an example using election statistics to compare the population proportions of the women and men who voted for a particular candidate. This first video just shows how to calculate the mean...
Khan Academy
Khan Academy: Algebra: Compound Inequalities
Video demonstrates step-by-step how to solve and graph a compound inequality with a solution set that satisfies both constraints. Practice problems available. This video is also found in the strand Algebra: ck12.org. [11:45]